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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Introduction to the Hyperbolic Sine Function





Representation through more general functions

The function is a particular case of more complicated mathematical functions. For example, it is a special case of the generalized hypergeometric function with the parameter at , multiplied by :

It is also a particular case of the modified Bessel function with the parameter , multiplied by :

Other Bessel functions can also be expressed through the hyperbolic sine function for similar values of the parameter:

Struve functions can also degenerate into the hyperbolic sine function for a similar parameter value:

But the function is also a degenerate case of the doubly periodic Jacobi elliptic functions when their second parameter is equal to or :

Finally, the function is the particular case of another class of functions—the Mathieu functions:





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